Cargando…
A Basis Theory Primer Expanded Edition /
The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and its use in both applied and classical harmonic analysis. T...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Applied and Numerical Harmonic Analysis,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- ANHA Series Preface
- Preface
- General Notation
- Part I. A Primer on Functional Analysis
- Banach Spaces and Operator Theory
- Functional Analysis
- Part II. Bases and Frames
- Unconditional Convergence of Series in Banach and Hilbert Spaces
- Bases in Banach Spaces
- Biorthogonality, Minimality, and More About Bases
- Unconditional Bases in Banach Spaces
- Bessel Sequences and Bases in Hilbert Spaces
- Frames in Hilbert Spaces
- Part III. Bases and Frames in Applied Harmonic Analysis
- The Fourier Transform on the Real Line
- Sampling, Weighted Exponentials, and Translations
- Gabor Bases and Frames
- Wavelet Bases and Frames
- Part IV. Fourier Series
- Fourier Series
- Basic Properties of Fourier Series
- Part V. Appendices
- Lebesgue Measure and Integration
- Compact and Hilbert-Schmidt Operators
- Hints for Exercises
- Index of Symbols
- References
- Index.